Question

Factorize this : x^2 - 2xy + y^2 - z^2.

Answer 1

=
${(x - y)}^{2} - {z}^{2} \\ = (x - y + z)(x - y - z)$

Answer 2

Hello!

Here is your answer

$x {}^{2} - 2xy + y {}^{2} - z {}^{2}$
$x {}^{2} - 2xy + y {}^{2} = (x - y) {}^{2}$
$(x - y) {}^{2} - z {}^{2}$
$(x - y) = a$
$z = b$
It's in the form of a^2 - b^2

we know that (a+b)(a-b) = a^2-b^2

$therefore \\ \\ (x - y + z)(x - y - z)$
these are the factors